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48573840 = 2435729997
BaseRepresentation
bin1011100101001…
…0110110010000
310101101210210010
42321102312100
544413330330
64453034520
71126604460
oct271226620
9111353703
1048573840
1125467277
1214325a40
13a0a9223
146645ba0
1543e73b0
hex2e52d90

48573840 has 160 divisors (see below), whose sum is σ = 178202880. Its totient is φ = 10708992.

The previous prime is 48573839. The next prime is 48573853. The reversal of 48573840 is 4837584.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48222 + ... + 49218.

It is an arithmetic number, because the mean of its divisors is an integer number (1113768).

Almost surely, 248573840 is an apocalyptic number.

48573840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48573840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89101440).

48573840 is an abundant number, since it is smaller than the sum of its proper divisors (129629040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48573840 is a wasteful number, since it uses less digits than its factorization.

48573840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 48573840 is about 6969.4935253575. The cubic root of 48573840 is about 364.8666304501.

The spelling of 48573840 in words is "forty-eight million, five hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 997 1015 1160 1218 1392 1624 1680 1740 1994 2030 2320 2436 2991 3045 3248 3480 3988 4060 4872 4985 5982 6090 6960 6979 7976 8120 9744 9970 11964 12180 13958 14955 15952 16240 19940 20937 23928 24360 27916 28913 29910 34895 39880 41874 47856 48720 55832 57826 59820 69790 79760 83748 86739 104685 111664 115652 119640 139580 144565 167496 173478 202391 209370 231304 239280 279160 289130 334992 346956 404782 418740 433695 462608 558320 578260 607173 693912 809564 837480 867390 1011955 1156520 1214346 1387824 1619128 1674960 1734780 2023910 2313040 2428692 3035865 3238256 3469560 4047820 4857384 6071730 6939120 8095640 9714768 12143460 16191280 24286920 48573840